Joint design of mismatched filter and unimodular transmit waveform

恒模发射波形和非匹配滤波器的联合设计

¹ School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, China
² AVIC Leihua Electronic Technology Institute, Wuxi 214063, China
³ School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China

Received: 24 March 2021

Abstract

To improve the receiver performance, unimodular transmit waveform and mismatched filter are jointly designed by using the alternating direction method of multipliers (ADMM). A series of auxiliary variables are introduced to decouple the variables in objective function and additional constrains. Denominator normalization(fractional programming technology) and step function are applied to obtain optimal solution from some subproblems. For given transmit waveform, same-length mismatched filter is designed in receiver. The low sidelobe level performance of the present methods are illustrated with the simulation results.

摘要

为改善接收端的探测效果，提出一种恒模发射波形和非匹配滤波器的联合设计方法，应用交替方向乘子法（alternating direction method of multipliers，ADMM）对所构造的数学优化模型进行了求解。通过引入多个辅助变量解除非凸优化问题和复杂约束的耦合关系，结合分式优化技术并构造分段阶跃函数，对子问题加以处理得出最优解。此外，还将此类联合优化设计扩展用于已知雷达发射波形基础上的接收端非匹配滤波器设计。仿真实验表明，所提出的联合设计方法可有效降低脉压输出的旁瓣。